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Introduction to Physics and Numerics of NAS Benchmarks

Given by Geoffrey C. Fox at CPSP713 Case studies in Computational Science on Spring Semester 1996. Foils prepared 15 March 1996

This is first of three foilsets on CFD and NAS Benchmarks
This describes the four basic NAS benchmarks and their relation to the Navier Stokes Equations in the the 5 component CFD equations
We use opportunity to discuss time discretization and stepping in general based on Hirsch CFD book and Numerical Recipes
Stability, Implicit and Explicit formulations are introduced
Beam Warming Equations and their stability

Table of Contents for Introduction to Physics and Numerics of NAS Benchmarks

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1 CPS713 Case Study II) CFD and Numerical Relativity
NAS Part I -- Initial NAS Benchmark Setup
2 Abstract of CPS713-Case Study II
Initial NAS Benchmark Setup
3 NAS Parallel Benchmarks
4 Summary of Sec 3: NAS Parallel Benchmarks:The CFD Kernels
5 Overview of Four Computational (PDE Solver) Kernels in
NAS Parallel Benchmarks
6 First Two Computational Kernels
7 Second Two Computational Kernels
8 The First Two Simplifications of the NAS Parallel Benchmarks
9 The Second Two Simplifications of the NAS Parallel Benchmarks
10 Basic Formalism for 5 Component CFD
11 What is relation of NAS benchmarks to Navier Stokes Equations -- Terms E F G?
12 What is relation of NAS benchmarks to Navier Stokes Equations -- Terms T V W ?
13 What is relation of NAS benchmarks to Navier Stokes Equations-- Term H and Boundary Conditions ?
14 What is relation of NAS benchmarks to Navier Stokes Equations -- Space and Time Variables
15 Treatment of Time Discretization for PDE's
16 Treatment of Time Stepping for PDE's :
Numerical Recipes -- Chapter 19
17 Comparison of Different Methods for Solving Linear Convection Equation
18 Overview of Stability and Accuracy of Partial Differential Equation Solvers
19 Solution of Homogenous Equations by Fourier Analysis
20 Solution of Linear Stability Equations for the Linear Convection Equation
21 General Stability Analysis of some two-step Methods -- Basic Iteration Equation
22 Differential Operator and its Eigenvalues for Beam Warming Equations
23 Stability Conditions for Beam Warming Equations
24 The effect of Nonlinearity on Implicit Equations
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